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Finding the Fourth Proportional to 360,123.51, 496,957.08 and 198,975.09

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Solution

The fourth proportional to 360,123.51, 496,957.08 and 198,975.09 is: 274,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,123.51 : 496,957.08 = 198,975.09 : x
  2. Step 2: Convert to fraction form
    360,123.51/496,957.08 = 198,975.09/x
  3. Step 3: Cross multiply
    360,123.51x = 496,957.08 × 198,975.09
  4. Step 4: Simplify right side
    360,123.51x = 98,882,079,719.14
  5. Step 5: Solve for x
    x = 98,882,079,719.14/360,123.51
  6. Step 6: Final answer
    x = 274,578.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.